Timeline for "Somewhat connected" spaces or algebras
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Oct 26, 2020 at 8:01 | comment | added | Pietro Majer | You don't ask that U be dense in the compactification, do you? | |
| Oct 26, 2020 at 3:06 | history | edited | Ali Taghavi | CC BY-SA 4.0 |
added 10 characters in body
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| Oct 22, 2020 at 17:20 | comment | added | Ali Taghavi | @InfiniteLooper Yes the interval is another compactification of the disjoint union of two copies of $\mathbb{R}$. Me too I belive that $\mathbb{N} \cup \{\infty \}$ is not a somewhat connected space since its only open dense subset is N which consist if isolated point. | |
| Oct 22, 2020 at 17:09 | comment | added | InfiniteLooper | However $\mathbb N$ is not SC | |
| Oct 22, 2020 at 17:07 | comment | added | InfiniteLooper | $[0,1]$ is a compactification of your set, isnt it ? | |
| Oct 22, 2020 at 15:04 | comment | added | Ali Taghavi | @LSpice I am not sure but my initial guess is $\{0\} \cup \{1,1/2,\ldots1/n,\ldots\}$. | |
| Oct 22, 2020 at 14:11 | comment | added | LSpice | What is an example of a non-SC space? | |
| Oct 22, 2020 at 13:15 | history | edited | YCor | CC BY-SA 4.0 |
formatting
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| Oct 22, 2020 at 11:59 | history | asked | Ali Taghavi | CC BY-SA 4.0 |